Lemma 2.3 [1]} Let \(f\)  be a non-constant meromorphic function of finite order and \(c\in \mathbb {C}\) . Then
\(N \left(r,\frac{1}{f(z+c)}\right)\le N \left(r,\frac{1}{f(z)}\right)+S(r,f),\) 
\(N \left(r,f(z+c)\right) \le N\left(r,f(z)\right)+S(r,f),\) 
\(\overline{N} \left(r,\frac{1}{f(z+c)}\right)\le \overline{N} \left(r,\frac{1}{f(z)}\right)+S(r,f)\) 
